6328429664256 has 576 divisors, whose sum is σ = 21089155127040. Its totient is φ = 1790873763840.

The previous prime is 6328429664233. The next prime is 6328429664257. The reversal of 6328429664256 is 6524669248236.

It is a happy number.

6328429664256 is a `hidden beast` number, since 6 + 3 + 284 + 296 + 64 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6328429664193 and 6328429664202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6328429664257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7803242091 + ... + 7803242901.

It is an arithmetic number, because the mean of its divisors is an integer number (36613116540).

Almost surely, 2^{6328429664256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6328429664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544577563520).

6328429664256 is an abundant number, since it is smaller than the sum of its proper divisors (14760725462784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6328429664256 is a wasteful number, since it uses less digits than its factorization.

6328429664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1327 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 63.

The spelling of 6328429664256 in words is "six trillion, three hundred twenty-eight billion, four hundred twenty-nine million, six hundred sixty-four thousand, two hundred fifty-six".